uncountable set

(redirected from Nondenumerable)

uncountable set

[¦ən′kau̇nt·ə·bəl ′set]
(mathematics)
An infinite set which cannot be put in one-to-one correspondence with the set of integers; for example, the set of real numbers.
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5) The types of reductions that he analyses--not only from the continuous to the discrete, but from the problematic to the axiomatic, the intensive to the extensive, the nonmetric to the metric, the nondenumerable to the denumerable, the rhizomatic to the arborescent, the smooth to the striated, and so on--while interrelated, are not identical, and each would have to be analyzed on its own account.
Later, in his now famous speech given to the International Conference of Mathematicians at Paris in 1900, David Hilbert posed as his first problem (of 23) whether there are any nondenumerable sets whose cardinal numbers lie between [N.